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Improvement of stabilizer-based entanglement distillation protocols by encoding operators

Shun Watanabe et al 2006 J. Phys. A: Math. Gen. 39 4273-4290   doi: 10.1088/0305-4470/39/16/013  Help

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Shun Watanabe, Ryutaroh Matsumoto and Tomohiko Uyematsu
Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo 152-8552, Japan
E-mail: shun-wata@it.ss.titech.ac.jp, ryutaroh@it.ss.titech.ac.jp and uematsu@it.ss.titech.ac.jp

Abstract. This paper presents a method for enumerating all encoding operators in the Clifford group for a given stabilizer. Furthermore, we classify encoding operators into the equivalence classes such that EDPs (entanglement distillation protocols) constructed from encoding operators in the same equivalence class have the same performance. By this classification, for a given parameter, the number of candidates for good EDPs is significantly reduced. As a result, we find the best EDP among EDPs constructed from [[4, 2]] stabilizer codes. This EDP has a better performance than previously known EDPs over a wide range of fidelity.

PACS numbers: 03.67.Mn, 03.67.Pp

Print publication: Issue 16 (21 April 2006)
Received 7 November 2005
Published 31 March 2006

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